Chemistry Effusion Homework: Calculate Molar Mass of Unknown Gas

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SUMMARY

The discussion focuses on calculating the molar mass of an unknown gas using effusion principles. Given that 1% of chlorine gas escapes through a tiny hole in 33 seconds, and the same percentage of the unknown gas escapes in 75.2 seconds, the problem can be solved using Graham's Law of Effusion. The key takeaway is to apply the relationship between the rates of effusion and the molar masses of the gases involved to derive the molar mass of the unknown gas.

PREREQUISITES
  • Understanding of Graham's Law of Effusion
  • Familiarity with the concept of molar mass
  • Knowledge of kinetic energy and the equipartition principle
  • Basic algebra for solving equations
NEXT STEPS
  • Study Graham's Law of Effusion in detail
  • Learn how to calculate molar mass from effusion rates
  • Review the equipartition principle and its implications in gas behavior
  • Practice problems involving kinetic energy and gas laws
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Chemistry students, educators, and anyone interested in gas behavior and thermodynamics will benefit from this discussion.

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Homework Statement



One percent of a measured amount of chlorine gas escapes through a tiny hole in 33 sec. One percent of a unknown gas escapes under the same conditions in 75.2 sec. Calculate the molar mass of the unknown gas in g/mol.

I can't seem to figure out how to do this so if some one could help i would be very appreciated.
 
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By now I have to say this. Sometimes students come here with intriguing problems that are not trivial to solve, sometimes they come and have got something confused which others here can help get straightened out, and so on, a variety of problems. But I do have to wonder at those who come here with perfectly standard problems that cannot have arisen out of the blue and say they have no idea where to start. Where to start is probably in a very recent lesson or book chapter. Have you had a recent lesson or where you are in a textbook mentioning effusion or anything sounding like that? Involving movement of gases from somewhere to somewhere else?

And failing that, do you know the equipartition principle? That the average translational kinetic energy per molecule of two gases under the same conditions will be the same? Then do you know the formula for kinetic energy? Put these ideas together. If you manage to get a convincing answer out of this then do not rest content with it but revise the underlying principles like kinetic energy and equipartition which will then fix in your mind. :smile:
 
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